Multiply frac{2 x^{2}-7 x-15}{x^{2}-25} times frac{x^{2}+x}{2 x^{2}+5 x+3}

Question

Accepted Answer

Step:1 ：The problem is asking to multiply two rational expressions: (frac{2 x^{2}-7 x-15}{x^{2}-25} times frac{x^{2}+x}{2 x^{2}+5 x+3}).Step:2 ：To do this, we can simply multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.Step:3 ：Then, we can simplify the resulting expression if possible.Step:4 ：After performing these operations, the final expression is (frac{x}{x+5}).Step:5 ：Final Answer: The result of the multiplication is (boxed{frac{x}{x+5}}).

Answer

Step: 1 ：The problem is asking to multiply two rational expressions: (frac{2 x^{2}-7 x-15}{x^{2}-25} times frac{x^{2}+x}{2 x^{2}+5 x+3}).Step: 2 ：To do this, we can simply multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.Step: 3 ：Then, we can simplify the resulting expression if possible.Step: 4 ：After performing these operations, the final expression is (frac{x}{x+5}).Step: 5 ：Final Answer: The result of the multiplication is (boxed{frac{x}{x+5}}).

Multiply $\frac{2 x^{2}-7 x-15}{x^{2}-25} \times \frac{x^{2}+x}{2 x^{2}+5 x+3}$

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